Charlier, Christophe; Lenells, Jonatan; Wang, Deng-Shan The “good” Boussinesq equation: long-time asymptotics. (English) Zbl 07785238 Anal. PDE 16, No. 6, 1351-1388 (2023). MSC: 35B40 35G25 35Q15 37K15 76B15 PDFBibTeX XMLCite \textit{C. Charlier} et al., Anal. PDE 16, No. 6, 1351--1388 (2023; Zbl 07785238) Full Text: DOI arXiv
Lee, Jae Min; Lenells, Jonatan The nonlinear Schrödinger equation on the half-line with homogeneous Robin boundary conditions. (English) Zbl 1527.35384 Proc. Lond. Math. Soc. (3) 126, No. 1, 334-389 (2023). MSC: 35Q55 35Q41 35Q15 35B40 35D30 35B20 35A01 37K40 PDFBibTeX XMLCite \textit{J. M. Lee} and \textit{J. Lenells}, Proc. Lond. Math. Soc. (3) 126, No. 1, 334--389 (2023; Zbl 1527.35384) Full Text: DOI arXiv OA License
Charlier, Christophe; Lenells, Jonatan The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity. (English) Zbl 1525.60018 J. Approx. Theory 285, Article ID 105833, 50 p. (2023). Reviewer: Viktor Ohanyan (Erevan) MSC: 60B20 41A60 35Q15 60G55 60F05 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{J. Lenells}, J. Approx. Theory 285, Article ID 105833, 50 p. (2023; Zbl 1525.60018) Full Text: DOI arXiv
Charlier, Christophe; Lenells, Jonatan Boussinesq’s equation for water waves: the soliton resolution conjecture for Sector IV. arXiv:2303.00434 Preprint, arXiv:2303.00434 [math.AP] (2023). MSC: 35C08 35G25 35Q15 37K40 76B15 BibTeX Cite \textit{C. Charlier} and \textit{J. Lenells}, ``Boussinesq's equation for water waves: the soliton resolution conjecture for Sector IV'', Preprint, arXiv:2303.00434 [math.AP] (2023) Full Text: arXiv OA License
Charlier, Christophe; Lenells, Jonatan Miura transformation for the ”good” Boussinesq equation. arXiv:2301.07620 Preprint, arXiv:2301.07620 [nlin.SI] (2023). MSC: 35G20 35Q15 37K15 BibTeX Cite \textit{C. Charlier} and \textit{J. Lenells}, ``Miura transformation for the "good'' Boussinesq equation'', Preprint, arXiv:2301.07620 [nlin.SI] (2023) Full Text: arXiv OA License
Charlier, Christophe; Lenells, Jonatan The “Good” Boussinesq equation: a Riemann-Hilbert approach. (English) Zbl 1502.35074 Indiana Univ. Math. J. 71, No. 4, 1505-1562 (2022). MSC: 35Q15 35Q35 35G25 37K15 35B40 35P30 41A60 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{J. Lenells}, Indiana Univ. Math. J. 71, No. 4, 1505--1562 (2022; Zbl 1502.35074) Full Text: DOI arXiv
Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan Gap probabilities in the bulk of the Airy process. (English) Zbl 1503.60056 Random Matrices Theory Appl. 11, No. 2, Article ID 2250022, 30 p. (2022). MSC: 60G55 30E25 41A60 60B20 PDFBibTeX XMLCite \textit{E. Blackstone} et al., Random Matrices Theory Appl. 11, No. 2, Article ID 2250022, 30 p. (2022; Zbl 1503.60056) Full Text: DOI arXiv
Monvel, Anne Boutet de; Lenells, Jonatan; Shepelsky, Dmitry The focusing NLS equation with step-like oscillating background: the genus \(3\) sector. (English) Zbl 1508.35156 Commun. Math. Phys. 390, No. 3, 1081-1148 (2022). Reviewer: Hajer Bahouri (Paris) MSC: 35Q55 35Q41 35Q15 35Q53 35B05 35B40 14K25 37K10 33C10 PDFBibTeX XMLCite \textit{A. B. de Monvel} et al., Commun. Math. Phys. 390, No. 3, 1081--1148 (2022; Zbl 1508.35156) Full Text: DOI arXiv
Charlier, C.; Lenells, J. On Boussinesq’s equation for water waves. arXiv:2204.02365 Preprint, arXiv:2204.02365 [math.AP] (2022). MSC: 35G25 35Q15 37K15 76B15 BibTeX Cite \textit{C. Charlier} and \textit{J. Lenells}, ``On Boussinesq's equation for water waves'', Preprint, arXiv:2204.02365 [math.AP] (2022) Full Text: arXiv OA License
Charlier, C.; Lenells, J. Long-time asymptotics for an integrable evolution equation with a \(3 \times 3\) Lax pair. (English) Zbl 1491.37061 Physica D 426, Article ID 132987, 11 p. (2021). MSC: 37K40 37K15 35Q15 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{J. Lenells}, Physica D 426, Article ID 132987, 11 p. (2021; Zbl 1491.37061) Full Text: DOI arXiv
Lenells, Jonatan; Quirchmayr, Ronald Construction of solutions and asymptotics for the defocusing NLS with periodic boundary data. (English) Zbl 1479.35802 J. Differ. Equations 304, 348-374 (2021). MSC: 35Q55 35Q15 41A60 35B40 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{R. Quirchmayr}, J. Differ. Equations 304, 348--374 (2021; Zbl 1479.35802) Full Text: DOI
Deconinck, B.; Fokas, A. S.; Lenells, J. The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. (English) Zbl 1466.35325 Lett. Math. Phys. 111, No. 1, Paper No. 17, 18 p. (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q15 37K15 37K10 35G30 35B10 PDFBibTeX XMLCite \textit{B. Deconinck} et al., Lett. Math. Phys. 111, No. 1, Paper No. 17, 18 p. (2021; Zbl 1466.35325) Full Text: DOI arXiv
Fromm, Samuel; Lenells, Jonatan; Quirchmayr, Ronald The defocusing nonlinear Schrödinger equation with step-like oscillatory initial data. arXiv:2104.03714 Preprint, arXiv:2104.03714 [math.AP] (2021). MSC: 35Q55 41A60 35Q15 BibTeX Cite \textit{S. Fromm} et al., ``The defocusing nonlinear Schr\"odinger equation with step-like oscillatory initial data'', Preprint, arXiv:2104.03714 [math.AP] (2021) Full Text: arXiv OA License
Charlier, Christophe; Lenells, Jonatan Airy and Painlevé asymptotics for the mKdV equation. (English) Zbl 1443.37054 J. Lond. Math. Soc., II. Ser. 101, No. 1, 194-225 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K15 37J65 41A60 34M55 35Q15 35Q53 PDFBibTeX XMLCite \textit{C. Charlier} and \textit{J. Lenells}, J. Lond. Math. Soc., II. Ser. 101, No. 1, 194--225 (2020; Zbl 1443.37054) Full Text: DOI arXiv
Huang, Lin; Lenells, Jonatan Asymptotics for the Sasa-Satsuma equation in terms of a modified Painlevé II transcendent. (English) Zbl 1435.35270 J. Differ. Equations 268, No. 12, 7480-7504 (2020). MSC: 35Q15 37K15 41A60 35B40 35Q53 PDFBibTeX XMLCite \textit{L. Huang} and \textit{J. Lenells}, J. Differ. Equations 268, No. 12, 7480--7504 (2020; Zbl 1435.35270) Full Text: DOI arXiv
Lenells, Jonatan; Fokas, Athanassios S. Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations. (English) Zbl 1436.35161 J. Nonlinear Math. Phys. 27, No. 2, 337-356 (2020). MSC: 35J60 37K15 35Q15 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, J. Nonlinear Math. Phys. 27, No. 2, 337--356 (2020; Zbl 1436.35161) Full Text: DOI arXiv
Lenells, Jonatan; Mauersberger, Julian The hyperbolic Ernst equation in a triangular domain. (English) Zbl 1435.35382 Anal. Math. Phys. 10, No. 1, Paper No. 10, 60 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q75 83C35 37K15 35Q15 35Q05 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{J. Mauersberger}, Anal. Math. Phys. 10, No. 1, Paper No. 10, 60 p. (2020; Zbl 1435.35382) Full Text: DOI arXiv
de Monvel, Anne Boutet; Lenells, Jonatan; Shepelsky, Dmitry The focusing NLS equation with step-like oscillating background: asymptotics in a transition zone. arXiv:2006.01137 Preprint, arXiv:2006.01137 [math.AP] (2020). MSC: 35Q55 37K15 35Q15 35B40 BibTeX Cite \textit{A. B. de Monvel} et al., ``The focusing NLS equation with step-like oscillating background: asymptotics in a transition zone'', Preprint, arXiv:2006.01137 [math.AP] (2020) Full Text: arXiv OA License
Lenells, Jonatan; Pei, Long Exact solution of a Neumann boundary value problem for the stationary axisymmetric Einstein equations. (English) Zbl 1429.83012 J. Nonlinear Sci. 29, No. 4, 1621-1657 (2019). MSC: 83C15 37K15 35Q15 35Q76 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{L. Pei}, J. Nonlinear Sci. 29, No. 4, 1621--1657 (2019; Zbl 1429.83012) Full Text: DOI arXiv
Boutet de Monvel, Anne; Lenells, Jonatan; Shepelsky, Dmitry Long-time asymptotics for the Degasperis-Procesi equation on the half-line. (Comportement asymptotique en temps grand de l’équation de Degasperis-Procesi sur la demi-droite.) (English. French summary) Zbl 1417.35163 Ann. Inst. Fourier 69, No. 1, 171-230 (2019). MSC: 35Q53 37K15 35B40 35Q15 PDFBibTeX XMLCite \textit{A. Boutet de Monvel} et al., Ann. Inst. Fourier 69, No. 1, 171--230 (2019; Zbl 1417.35163) Full Text: DOI arXiv
Huang, Lin; Lenells, Jonatan Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane. (English) Zbl 1397.37079 J. Integrable Syst. 3, Article ID xyy014, 92 p. (2018). MSC: 37K15 41A60 35Q15 PDFBibTeX XMLCite \textit{L. Huang} and \textit{J. Lenells}, J. Integrable Syst. 3, Article ID xyy014, 92 p. (2018; Zbl 1397.37079) Full Text: DOI arXiv
Lenells, Jonatan Matrix Riemann-Hilbert problems with jumps across Carleson contours. (English) Zbl 1397.35163 Monatsh. Math. 186, No. 1, 111-152 (2018). Reviewer: Vladimir Mityushev (Kraków) MSC: 35Q15 30E25 45E05 PDFBibTeX XMLCite \textit{J. Lenells}, Monatsh. Math. 186, No. 1, 111--152 (2018; Zbl 1397.35163) Full Text: DOI arXiv
Arruda, Lynnyngs Kelly; Lenells, Jonatan Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line. (English) Zbl 1375.35474 Nonlinearity 30, No. 11, 4141-4172 (2017). MSC: 35Q55 35Q15 41A60 PDFBibTeX XMLCite \textit{L. K. Arruda} and \textit{J. Lenells}, Nonlinearity 30, No. 11, 4141--4172 (2017; Zbl 1375.35474) Full Text: DOI arXiv
Lenells, Jonatan The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity. (English) Zbl 1377.41020 Indiana Univ. Math. J. 66, No. 4, 1287-1332 (2017). Reviewer: Jin Liang (Shanghai) MSC: 41A60 35Q15 35Q53 PDFBibTeX XMLCite \textit{J. Lenells}, Indiana Univ. Math. J. 66, No. 4, 1287--1332 (2017; Zbl 1377.41020) Full Text: DOI arXiv Link
Lenells, Jonatan The nonlinear steepest descent method: asymptotics for initial-boundary value problems. (English) Zbl 1356.41015 SIAM J. Math. Anal. 48, No. 3, 2076-2118 (2016). Reviewer: José L. Lopez (Pamplona) MSC: 41A60 35Q15 35Q53 PDFBibTeX XMLCite \textit{J. Lenells}, SIAM J. Math. Anal. 48, No. 3, 2076--2118 (2016; Zbl 1356.41015) Full Text: DOI arXiv
Lenells, Jonatan Nonlinear Fourier transforms and the mKdV equation in the quarter plane. (English) Zbl 1335.35217 Stud. Appl. Math. 136, No. 1, 3-63 (2016). MSC: 35Q53 35Q15 65T50 37K15 PDFBibTeX XMLCite \textit{J. Lenells}, Stud. Appl. Math. 136, No. 1, 3--63 (2016; Zbl 1335.35217) Full Text: DOI arXiv
Lenells, Jonatan Admissible boundary values for the defocusing nonlinear Schrödinger equation with asymptotically time-periodic data. (English) Zbl 1332.35340 J. Differ. Equations 259, No. 11, 5617-5639 (2015). MSC: 35Q55 37K15 35Q15 35B40 PDFBibTeX XMLCite \textit{J. Lenells}, J. Differ. Equations 259, No. 11, 5617--5639 (2015; Zbl 1332.35340) Full Text: DOI arXiv
Fokas, A. S.; Lenells, J. Perturbative and exact results on the Neumann value for the nonlinear Schrödinger equation on the half-line. arXiv:1401.2508 Preprint, arXiv:1401.2508 [nlin.SI] (2014). MSC: 37K15 35Q15 BibTeX Cite \textit{A. S. Fokas} and \textit{J. Lenells}, ``Perturbative and exact results on the Neumann value for the nonlinear Schr\"odinger equation on the half-line'', Preprint, arXiv:1401.2508 [nlin.SI] (2014) Full Text: DOI arXiv OA License
Lenells, Jonatan; Wunsch, Marcus The Hunter-Saxton system and the geodesics on a pseudosphere. (English) Zbl 1282.58019 Commun. Partial Differ. Equations 38, No. 4-6, 860-881 (2013). Reviewer: Agostino Prástaro (Roma) MSC: 58J60 58J32 53C50 53C21 53C22 35B44 35D30 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{M. Wunsch}, Commun. Partial Differ. Equations 38, No. 4--6, 860--881 (2013; Zbl 1282.58019) Full Text: DOI arXiv
Lenells, Jonatan The Degasperis-Procesi equation on the half-line. (English) Zbl 1253.35138 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 76, 122-139 (2013). MSC: 35Q51 37K15 35R30 PDFBibTeX XMLCite \textit{J. Lenells}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 76, 122--139 (2013; Zbl 1253.35138) Full Text: DOI arXiv
Lenells, J.; Fokas, A. S. The unified method. III: Nonlinearizable problems on the interval. (English) Zbl 1256.35046 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195203, 21 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 35Q15 35Q55 37K15 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, J. Phys. A, Math. Theor. 45, No. 19, Article ID 195203, 21 p. (2012; Zbl 1256.35046) Full Text: DOI arXiv
Lenells, J.; Fokas, A. S. The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. (English) Zbl 1256.35045 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195202, 36 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 35Q15 37K15 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, J. Phys. A, Math. Theor. 45, No. 19, Article ID 195202, 36 p. (2012; Zbl 1256.35045) Full Text: DOI arXiv
Fokas, A. S.; Lenells, J. The unified method. I: Nonlinearizable problems on the half-line. (English) Zbl 1256.35044 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195201, 38 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 35Q15 35Q53 37K15 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{J. Lenells}, J. Phys. A, Math. Theor. 45, No. 19, Article ID 195201, 38 p. (2012; Zbl 1256.35044) Full Text: DOI arXiv
Lenells, Jonatan Boundary value problems for the stationary axisymmetric Einstein equations: a disk rotating around a black hole. (English) Zbl 1225.35236 Commun. Math. Phys. 304, No. 3, 585-635 (2011). Reviewer: Dimitar A. Kolev (Sofia) MSC: 35Q76 35Q15 83C05 35F30 83C57 PDFBibTeX XMLCite \textit{J. Lenells}, Commun. Math. Phys. 304, No. 3, 585--635 (2011; Zbl 1225.35236) Full Text: DOI arXiv
Lenells, Jonatan The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line. (English) Zbl 1220.37062 Physica D 240, No. 6, 512-525 (2011). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K15 35Q55 35Q15 PDFBibTeX XMLCite \textit{J. Lenells}, Physica D 240, No. 6, 512--525 (2011; Zbl 1220.37062) Full Text: DOI arXiv
Lenells, J.; Fokas, A. S. Boundary-value problems for the stationary axisymmetric Einstein equations: a rotating disc. (English) Zbl 1221.35416 Nonlinearity 24, No. 1, 177-206 (2011). Reviewer: Michael Shapiro (Mexico City) MSC: 35Q76 35Q15 83C05 35J25 30E25 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, Nonlinearity 24, No. 1, 177--206 (2011; Zbl 1221.35416) Full Text: DOI arXiv
Constantin, Adrian; Ivanov, Rossen I.; Lenells, Jonatan Inverse scattering transform for the Degasperis-Procesi equation. (English) Zbl 1211.37081 Nonlinearity 23, No. 10, 2559-2575 (2010). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 37K15 35Q15 35Q35 PDFBibTeX XMLCite \textit{A. Constantin} et al., Nonlinearity 23, No. 10, 2559--2575 (2010; Zbl 1211.37081) Full Text: DOI arXiv
Lenells, J.; Fokas, A. S. An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons. (English) Zbl 1181.35335 Inverse Probl. 25, No. 11, Article ID 115006, 32 p. (2009). MSC: 35R30 35Q55 35P25 81U40 35Q51 30E25 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, Inverse Probl. 25, No. 11, Article ID 115006, 32 p. (2009; Zbl 1181.35335) Full Text: DOI arXiv
Lenells, Jonatan The derivative nonlinear Schrödinger equation on the half-line. (English) Zbl 1161.35503 Physica D 237, No. 23, 3008-3019 (2008). MSC: 35Q55 37K15 30E25 PDFBibTeX XMLCite \textit{J. Lenells}, Physica D 237, No. 23, 3008--3019 (2008; Zbl 1161.35503) Full Text: DOI arXiv